Algebra Winter Benchmark

Simplify:
(4x - 5) + (-2x - 5) 

• -2x 

• 6x + 10

• 2x - 10

• -2x - 10

The sentence,two more than the product of five and a number is less than 8 times the number, translates to which mathematical statement?

• 2 + 5n > 8 + n

• 5n + 2 < 8n

• 2n + 5 < 8n

• 7n < 8n

Use points on the line of best fit to create the equation for the following scatter plot.

What would be the correlation coefficient for the scatter plot?

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Solve using elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Solve this system of equation

5x - 2y = 9

2x + 7y = -12

• (1, -1)

• (-1, 1)

• (-1, 2)

• (1, -2)

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50

• d + c = 50
  4d + 2c = 174

• d + c = 50
  2d + 4c = 174

• d + c = 174
  2d + 4c = 50

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20